Combining Philosophers
Ideas for Lynch,MP/Glasgow,JM, Allan Gibbard and Charles Chihara
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9553
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Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
10192
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We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265
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Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
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8759
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We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
10264
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Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
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